(Solved): Conduct a test at the =0.01 level of significance by determining (a) the null and alternative ...

Conduct a test at the $?=0.01$ level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether $p_1>p_2$. The sample data are $x_1=122,n_1=256,x_2=136$, and $n_2=306$. (a) Choose the correct null and alternative hypotheses below. A. $H_0:p_1=p_2$ versus $H_1:p_1<p_2$ B. $H_0:p_1=0$ versus $H_1:p_1?=0$ C. $H_0:p_1=p_2$ versus $H_1:p_1?=p_2$ D. $H_0:p_1=p_2$ versus $H_1:p_1>p_2$